A342873 - OEIS

A342873

Numbers whose distance to the nearest cube equals the distance to the nearest product of 3 consecutive integers (three-dimensional oblong).

0, 7, 16, 62, 92, 213, 276, 508, 616, 995, 1160, 1722, 1956, 2737, 3052, 4088, 4496, 5823, 6336, 7990, 8620, 10637, 11396, 13812, 14712, 17563, 18616, 21938, 23156, 26985, 28380, 32752, 34336, 39287, 41072, 46638, 48636, 54853, 57076, 63980, 66440, 74067

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OFFSET

1,2

COMMENTS

That is, numbers k such that A074989(k) = A342872(k).

They form 2 partitions:

7, 62, 213, ... = 8*k^3 - k = k*A157914(k).

0, 16, 92, ... = 8*k^3 + 6*k^2 + 2*k = 2*k*A033951(k).

LINKS

Table of n, a(n) for n=1..42.

PROG

(Python)